Sandbox vectors

Let’s define some vectors which can be used for demonstrations:

manyNumbers <- sample( 1:1000, 20 )
manyNumbers
 [1] 939 780 893 377 447 190 876 884 493 223 257 361 294 250  66 320  73 792 166 521
manyNumbersWithNA <- sample( c( NA, NA, NA, manyNumbers ) )
manyNumbersWithNA
 [1] 361 250  73  NA  NA 166 190 320  66  NA 257 876 521 493 780 884 377 447 893 792 223 939 294
duplicatedNumbers <- sample( 1:5, 10, replace = TRUE )
duplicatedNumbers
 [1] 2 1 3 1 5 2 3 4 5 5
letters
 [1] "a" "b" "c" "d" "e" "f" "g" "h" "i" "j" "k" "l" "m" "n" "o" "p" "q" "r" "s" "t" "u" "v" "w" "x" "y" "z"
LETTERS
 [1] "A" "B" "C" "D" "E" "F" "G" "H" "I" "J" "K" "L" "M" "N" "O" "P" "Q" "R" "S" "T" "U" "V" "W" "X" "Y" "Z"
mixedLetters <- c( sample( letters, 5 ), sample( LETTERS, 5 ) )
mixedLetters
 [1] "o" "b" "y" "u" "t" "E" "I" "C" "X" "T"

Are all/any elements TRUE

  • Input: logical vector
  • Output: single logical value
  • Task: try, understand what happens when you use manyNumbersWithNA instead of manyNumbers.
all( manyNumbers <= 1000 )
[1] TRUE
all( manyNumbers <= 500 )
[1] FALSE
any( manyNumbers > 1000 )
[1] FALSE
any( manyNumbers > 500 )
[1] TRUE
all( !is.na( manyNumbers ) )
[1] TRUE
any( is.na( manyNumbers ) )
[1] FALSE

Which elements are TRUE

Input: logical vector Output: vector of numbers (positions)

which( manyNumbers > 900 )
[1] 1
which( manyNumbersWithNA > 900 )
[1] 22
which( is.na( manyNumbersWithNA ) )
[1]  4  5 10

Filtering vector elements

  • Input: any vector and filtering condition
  • Output: elements of the input vector
  • Note: several ways to get the same effect
manyNumbers[ manyNumbers > 900 ] # indexing by logical vector
[1] 939
manyNumbers[ which( manyNumbers > 900 ) ] # indexing by positions
[1] 939
somePositions <- which( manyNumbers > 900 )
manyNumbers[ somePositions ]
[1] 939

Are some elements among other elements

  • Input: two vectors
  • Output: a logical vector corresponding to the first input vector
"A" %in% LETTERS
[1] TRUE
c( "X", "Y", "Z" ) %in% LETTERS
[1] TRUE TRUE TRUE
all( c( "X", "Y", "Z" ) %in% LETTERS )
[1] TRUE
all( mixedLetters %in% LETTERS )
[1] FALSE
any( mixedLetters %in% LETTERS )
[1] TRUE
mixedLetters[ mixedLetters %in% LETTERS ]
[1] "E" "I" "C" "X" "T"
mixedLetters[ !( mixedLetters %in% LETTERS ) ]
[1] "o" "b" "y" "u" "t"
manyNumbers %in% 300:600
 [1] FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE
which( manyNumbers %in% 300:600 )
[1]  4  5  9 12 16 20
sum( manyNumbers %in% 300:600 )
[1] 6

Pick one of two (three) depending on condition

  • Input: a logical vector and two vectors additional vectors (for TRUE, for FALSE)
  • Output: elements of the additional vectors
  • Note: it can take care of NAs
if_else( manyNumbersWithNA >= 500, "large", "small" )
 [1] "small" "small" "small" NA      NA      "small" "small" "small" "small" NA      "small" "large" "large" "small" "large" "large" "small"
[18] "small" "large" "large" "small" "large" "small"
if_else( manyNumbersWithNA >= 500, "large", "small", "UNKNOWN" )
 [1] "small"   "small"   "small"   "UNKNOWN" "UNKNOWN" "small"   "small"   "small"   "small"   "UNKNOWN" "small"   "large"   "large"  
[14] "small"   "large"   "large"   "small"   "small"   "large"   "large"   "small"   "large"   "small"  
# here integer 0L is needed instead of real 0.0 
# manyNumbersWithNA contains integer numbers and the method complains
if_else( manyNumbersWithNA >= 500, manyNumbersWithNA, 0L ) 
 [1]   0   0   0  NA  NA   0   0   0   0  NA   0 876 521   0 780 884   0   0 893 792   0 939   0

Duplicates and unique elements

  • Input: a vector
unique( duplicatedNumbers )
[1] 2 1 3 5 4
unique( c( NA, duplicatedNumbers, NA ) )
[1] NA  2  1  3  5  4
duplicated( duplicatedNumbers )
 [1] FALSE FALSE FALSE  TRUE FALSE  TRUE  TRUE FALSE  TRUE  TRUE

Positions of max/min elements

which.max( manyNumbersWithNA )
[1] 22
manyNumbersWithNA[ which.max( manyNumbersWithNA ) ]
[1] 939
which.min( manyNumbersWithNA )
[1] 9
manyNumbersWithNA[ which.min( manyNumbersWithNA ) ]
[1] 66
range( manyNumbersWithNA, na.rm = TRUE )
[1]  66 939

Sorting/ordering of vectors

manyNumbersWithNA
 [1] 361 250  73  NA  NA 166 190 320  66  NA 257 876 521 493 780 884 377 447 893 792 223 939 294
sort( manyNumbersWithNA )
 [1]  66  73 166 190 223 250 257 294 320 361 377 447 493 521 780 792 876 884 893 939
sort( manyNumbersWithNA, na.last = TRUE )
 [1]  66  73 166 190 223 250 257 294 320 361 377 447 493 521 780 792 876 884 893 939  NA  NA  NA
sort( manyNumbersWithNA, na.last = TRUE, decreasing = TRUE )
 [1] 939 893 884 876 792 780 521 493 447 377 361 320 294 257 250 223 190 166  73  66  NA  NA  NA
manyNumbersWithNA[1:5]
[1] 361 250  73  NA  NA
order( manyNumbersWithNA[1:5] )
[1] 3 2 1 4 5
rank( manyNumbersWithNA[1:5] )
[1] 3 2 1 4 5
sort( mixedLetters )
 [1] "b" "C" "E" "I" "o" "t" "T" "u" "X" "y"

Ranking of vectors

manyDuplicates <- sample( 10:15, 10, replace = TRUE )
rank( manyDuplicates )
 [1] 9 5 5 5 9 2 5 1 5 9
rank( manyDuplicates, ties.method = "min" )
 [1] 8 3 3 3 8 2 3 1 3 8
rank( manyDuplicates, ties.method = "random" )
 [1]  9  5  3  4 10  2  6  1  7  8

Rounding numbers

v <- c( -1, -0.5, 0, 0.5, 1, rnorm( 10 ) )
v
 [1] -1.0000000 -0.5000000  0.0000000  0.5000000  1.0000000 -2.0878073 -1.6958239  1.2073455 -0.8685920 -0.0354016  0.8246834  0.9928578
[13]  0.9644480  0.2046025  1.3021420
round( v, 0 )
 [1] -1  0  0  0  1 -2 -2  1 -1  0  1  1  1  0  1
round( v, 1 )
 [1] -1.0 -0.5  0.0  0.5  1.0 -2.1 -1.7  1.2 -0.9  0.0  0.8  1.0  1.0  0.2  1.3
round( v, 2 )
 [1] -1.00 -0.50  0.00  0.50  1.00 -2.09 -1.70  1.21 -0.87 -0.04  0.82  0.99  0.96  0.20  1.30
floor( v )
 [1] -1 -1  0  0  1 -3 -2  1 -1 -1  0  0  0  0  1
ceiling( v )
 [1] -1  0  0  1  1 -2 -1  2  0  0  1  1  1  1  2

Naming vector elements

heights <- c( Amy = 166, Eve = 170, Bob = 177 )
heights
Amy Eve Bob 
166 170 177 
names( heights )
[1] "Amy" "Eve" "Bob"
names( heights ) <- c( "AMY", "EVE", "BOB" )
heights
AMY EVE BOB 
166 170 177 
heights[[ "EVE" ]]
[1] 170

Generating grids

expand_grid( x = c( 1:3, NA ), y = c( "a", "b" ) )
# A tibble: 8 x 2
      x y    
  <int> <chr>
1     1 a    
2     1 b    
3     2 a    
4     2 b    
5     3 a    
6     3 b    
7    NA a    
8    NA b    

Generating combinations

combn( c( "a", "b", "c", "d", "e" ), m = 2, simplify = TRUE )
     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] "a"  "a"  "a"  "a"  "b"  "b"  "b"  "c"  "c"  "d"  
[2,] "b"  "c"  "d"  "e"  "c"  "d"  "e"  "d"  "e"  "e"  
combn( c( "a", "b", "c", "d", "e" ), m = 3, simplify = TRUE )
     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] "a"  "a"  "a"  "a"  "a"  "a"  "b"  "b"  "b"  "c"  
[2,] "b"  "b"  "b"  "c"  "c"  "d"  "c"  "c"  "d"  "d"  
[3,] "c"  "d"  "e"  "d"  "e"  "e"  "d"  "e"  "e"  "e"  


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